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Advanced Options · ADV-06a · Advanced

Broken-wing call butterfly

How does broken-wing call butterfly express a an asymmetric price target view?

One concept per page · original written lesson · 570 prose words · authored, not installed or production-approved

What you will learn and prerequisites

Read first: Read a contract and its premium, Rights, obligations and expiration, Defined payoff risk is not margin, Read the whole multi-leg ticket

A broken-wing butterfly uses unequal wing widths to redistribute cost and tail exposure. A cheap or zero-debit entry can simply move the risk to the wider wing. It is not a free trade.

Construction: read every leg

The strikes 95/100/107 create five- and seven-point wings. Premiums net to zero. At 100 the position earns 500 before costs. Above 107, intrinsic is 2×100−95−107=−2 points, a 200 loss. The left tail is zero before costs. Opening fees make that otherwise flat tail slightly negative.

Read the ticket before the graph

BUY means you own an option right; SELL means you accept a short-option obligation. Positive quantities are long and negative quantities are short in the calculation. Check quantity, call/put, strike, multiplier and expiry before netting premium.

All legs in this example share November 20, 2026 expiration. The entry observation is October 6, 2026, with fictional QLT at 100. These are independent illustrative premiums, not a current option chain or executable quotes. The terminal diagram assumes every leg and any shares are resolved at one common settlement price.

Before expiry: time and volatility

The asymmetric wings alter Delta, Gamma, Vega and Theta across spot. Moving protection farther away cheapens it while enlarging the adverse interval. A graph cropped around the attractive body conceals the key trade-off.

Manage the position deliberately

Compare the saved debit with the wider-wing loss. A rally through the body calls for reassessment if the thesis was a stall. Do not use 'costless' as a substitute for a risk calculation.

Fictional teaching ticket · no order submission

Broken-wing call butterfly

QLT • reference spot $100 • independent illustrative prices • quote date 2026-10-06

Read action, quantity, type, strike, expiry, premium and multiplier before the payoff
ActionQtyTypeStrikeExpiryPremium/unitMultiplier
BUY1Call952026-11-207100
SELL2Call1002026-11-204.2100
BUY1Call1072026-11-201.4100
Opening option cash (+received / −paid)0 USD
Entry option fees in cost variant2.6 USD
Shares included0
Joint-terminal results—not a guarantee of interim cash requirements
MeasureBefore costsAfter stated entry fees
Maximum terminal profit500497.4
Maximum terminal loss magnitude200202.6
Breakeven settlement price(s)0, 95, 10595.026, 104.974

Before-fee zero-P/L interval(s): [[0.0, 95.0]]. An endpoint labeled null denotes an unbounded interval.

This is a mathematical expiry experiment using the displayed legs, not an executable quote. The slider range is not a risk limit.

$0.65 per option contract on entry only. No exit, assignment, financing or tax costs modeled.

Independent fictional premiums, not one simultaneous arbitrage-consistent chain. All legs realized simultaneously at intrinsic at the same expiry; terminal calculations do not model American early exercise, temporary unhedged positions, forced liquidation or live liquidity. Displayed chart domain is not a tail-risk cap.

From opening cash to a settlement result

Read the opening instructions: buy 1 95 call at 7.00; sell 2 100 call at 4.20; buy 1 107 call at 1.40. Option opening cash is $0.00 received as a credit. A received credit is not earned profit while the obligation remains open.

Set the common settlement price to 112.00. Calls have intrinsic value max(S−K,0); puts have max(K−S,0). Subtract the opening premium from each intrinsic value, then multiply by signed quantity and the 100-unit multiplier. Shares contribute their price change from their own cost. The calculation popup shows every leg.

The combined result is $-200.00 before costs and $-202.60 after illustrative opening fees of $2.60. Exit fees, slippage, funding, dividends and taxes are not included. Opening fees are 0.65 per option contract, not a statement of any broker's pricing.

Maximum terminal profit is $500.00; maximum terminal loss magnitude is $200.00, before costs. Isolated zero-P/L settlement points in the model: 0, 95, 105; zero-P/L intervals are shown in the ticket data, not single isolated breakevens. Move the scenario slider across each strike and explain why the slope changes there. A strike is a contract threshold, not a prediction.

This terminal model is useful for comparing risk shapes, but actual American-style assignment, share delivery, forced liquidation or a failed multi-leg exit can produce a different path. A long protective leg is not an automatic instruction that a broker must exercise it when another leg is assigned.

Open the calculation without leaving this lesson

Calculate this exact ticket

Same-page calculation. Closing restores the lesson position and originating control.

P/L = Σ[q × multiplier × (intrinsic − opening premium)] + shares × (S−share entry) − costs

Intrinsic is nonnegative before the signed quantity is applied. This is a fictional terminal calculation.

  1. +1 × 100 × (17.00 − 7.00) = $1,000.00: 95 call.
  2. -2 × 100 × (12.00 − 4.20) = $-1,560.00: 100 call.
  3. +1 × 100 × (5.00 − 1.40) = $360.00: 107 call.
  4. Opening fees: 2.60.
Before costs $-200.00; after entry fees only $-202.60.

Maximum risk and breakevens

Same-page calculation. Closing restores the lesson position and originating control.

Evaluate S=0, all strikes and the final tail slope; solve P/L=0 on each linear segment.

Same-expiry payoffs are piecewise linear. A finite chart range cannot prove a tail is bounded.

  1. Maximum terminal profit is $500.00; maximum terminal loss magnitude is $200.00, before costs.
  2. Breakeven points: 0, 95, 105; zero-P/L intervals are shown in the ticket data, not single isolated breakevens.
  3. Costs shift net P/L downward without moving the strikes.
Maximum terminal profit is $500.00; maximum terminal loss magnitude is $200.00, before costs.

The whole ticket at common expiry

Vertical: P/L per complete ticket (USD)
Horizontal: Underlying settlement price (USD)

The whole ticket at common expirySolid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range. The complete numerical data are available below.-265.834-100.0265.7932231.607397.42563.234024.448.873.297.6122
1. Combined terminal P/L before fees2. Combined terminal P/L after entry fees
Solid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range.
See the individual legs behind the combined curveThe whole ticket at common expirySolid combined curve is before fees; the second includes only the stated entry fees. Individual-leg lines explain construction. This is terminal intrinsic P/L, not current option value. Price can move outside the displayed range. The complete numerical data are available below.-4,060.4-2,748.24-1,436.08-123.921,188.242,500.4024.448.873.297.6122
1. Combined terminal P/L before fees2. Combined terminal P/L after entry fees3. Leg 1: BUY 1 95 call4. Leg 2: SELL 2 100 call5. Leg 3: BUY 1 107 call
Read the graph as a data table
Complete graph data; original fictional observations or model calculations
Underlying settlement price (USD)Combined terminal P/L before feesCombined terminal P/L after entry feesLeg 1: BUY 1 95 callLeg 2: SELL 2 100 callLeg 3: BUY 1 107 call
00-2.6-700840-140
800-2.6-700840-140
80.5250-2.6-700840-140
81.050-2.6-700840-140
81.5750-2.6-700840-140
82.10-2.6-700840-140
82.6250-2.6-700840-140
83.150-2.6-700840-140
83.6750-2.6-700840-140
84.20-2.6-700840-140
84.7250-2.6-700840-140
85.250-2.6-700840-140
85.7750-2.6-700840-140
86.30-2.6-700840-140
86.8250-2.6-700840-140
87.350-2.6-700840-140
87.8750-2.6-700840-140
88.40-2.6-700840-140
88.9250-2.6-700840-140
89.450-2.6-700840-140
89.9750-2.6-700840-140
90.50-2.6-700840-140
91.0250-2.6-700840-140
91.550-2.6-700840-140
92.0750-2.6-700840-140
92.60-2.6-700840-140
93.1250-2.6-700840-140
93.650-2.6-700840-140
94.1750-2.6-700840-140
94.70-2.6-700840-140
950-2.6-700840-140
95.22522.519.9-677.5840-140
95.757572.4-625840-140
96.275127.5124.9-572.5840-140
96.8180177.4-520840-140
97.325232.5229.9-467.5840-140
97.85285282.4-415840-140
98.375337.5334.9-362.5840-140
98.9390387.4-310840-140
99.425442.5439.9-257.5840-140
99.95495492.4-205840-140
100500497.4-200840-140
100.475452.5449.9-152.5745-140
101400397.4-100640-140
101.525347.5344.9-47.5535-140
102.05295292.45430-140
102.575242.5239.957.5325-140
103.1190187.4110220-140
103.625137.5134.9162.5115-140
104.158582.421510-140
104.67532.529.9267.5-95-140
1052.84217e-14-2.6300-160-140
105.2-20-22.6320-200-140
105.725-72.5-75.1372.5-305-140
106.25-125-127.6425-410-140
106.775-177.5-180.1477.5-515-140
107-200-202.6500-560-140
107.3-200-202.6530-620-110
107.825-200-202.6582.5-725-57.5
108.35-200-202.6635-830-5
108.875-200-202.6687.5-93547.5
109.4-200-202.6740-1,040100
109.925-200-202.6792.5-1,145152.5
110.45-200-202.6845-1,250205
110.975-200-202.6897.5-1,355257.5
111.5-200-202.6950-1,460310
112.025-200-202.61,002.5-1,565362.5
112.55-200-202.61,055-1,670415
113.075-200-202.61,107.5-1,775467.5
113.6-200-202.61,160-1,880520
114.125-200-202.61,212.5-1,985572.5
114.65-200-202.61,265-2,090625
115.175-200-202.61,317.5-2,195677.5
115.7-200-202.61,370-2,300730
116.225-200-202.61,422.5-2,405782.5
116.75-200-202.61,475-2,510835
117.275-200-202.61,527.5-2,615887.5
117.8-200-202.61,580-2,720940
118.325-200-202.61,632.5-2,825992.5
118.85-200-202.61,685-2,9301,045
119.375-200-202.61,737.5-3,0351,097.5
119.9-200-202.61,790-3,1401,150
120.425-200-202.61,842.5-3,2451,202.5
120.95-200-202.61,895-3,3501,255
121.475-200-202.61,947.5-3,4551,307.5
122-200-202.62,000-3,5601,360

The failure case

Settlement at 112 loses 200 despite no opening debit. The width imbalance—not a mysterious volatility effect—explains the terminal tail.

Check your understanding

Try the question before revealing its answer. These are reading checks, not trading certification or a site completion record.

What is whole-position terminal P/L at QLT 112.00, before costs?

Reveal the worked answer

$-200.00

Use all signed legs, not just the winning leg. The popup and graph use the same ticket.

Critical risk question

Does a terminal loss bound guarantee every early-assignment or liquidation outcome?

Reveal the worked answer

No.

It describes the specified common-settlement payoff. Product rules, stock delivery, capital and execution still matter.

Takeaway

Explain the intended an asymmetric price target exposure, each leg's obligation and the adverse price region before using the strategy name.

Sources, assumptions and downloadable script

External references support definitions and conventions. Worked scenarios and prose are original. No current quotes or dealer inventory are claimed.

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